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Finding the Fourth Proportional to 510.56, 766.32 and 462.56

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Solution

The fourth proportional to 510.56, 766.32 and 462.56 is: 694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 766.32 = 462.56 : x
  2. Step 2: Convert to fraction form
    510.56/766.32 = 462.56/x
  3. Step 3: Cross multiply
    510.56x = 766.32 × 462.56
  4. Step 4: Simplify right side
    510.56x = 354,468.98
  5. Step 5: Solve for x
    x = 354,468.98/510.56
  6. Step 6: Final answer
    x = 694.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.